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Finding the Third Proportional to 234,758 and 351,237

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Solution

The third proportional to 234,758 and 351,237 is: 525,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,758 : 351,237 = 351,237 : x
  2. Step 2: Convert to fraction form
    234,758/351,237 = 351,237/x
  3. Step 3: Cross multiply
    234,758x = 351,237 × 351,237
  4. Step 4: Simplify right side
    234,758x = 123,367,430,169
  5. Step 5: Solve for x
    x = 123,367,430,169/234,758
  6. Step 6: Final answer
    x = 525,508.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.